Find the sum. (4p−2p2+8)+(5p2+2p)+(7−3p) (1 point) Responses −2p2+8p+15 negative 2 p squared plus 8 p plus 15 3p2+3p+15 3 p squared plus 3 p plus 15 5p2+p+15 5 p squared plus p plus 15 3p2+6p+15

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To find the sum of the expressions \((4p - 2p^2 + 8) + (5p^2 + 2p) + (7 - 3p)\), we can combine like terms.

1. Start by grouping the like terms:
- \(p^2\) terms: \(-2p^2 + 5p^2 = 3p^2\)
- \(p\) terms: \(4p + 2p - 3p = 3p\)
- Constant terms: \(8 + 7 = 15\)

2. Now, combine the results:
- The \(p^2\) term totals to \(3p^2\)
- The \(p\) term totals to \(3p\)
- The constant term totals to \(15\)

Thus, the combined expression is:

\[
3p^2 + 3p + 15
\]

So, the correct response is:

**3p² + 3p + 15**.